Kinematics of particles Definition and 13 Threads

Homework Statement Homework Equations $$h=ut+1/2at^2$$ $$h=x\tan\theta-1/2g\frac{x^2}{u^2\cos^2\theta}$$ The Attempt at a Solution I tried to take a random angle theta for the lower particee and then using the equation of the upper particle tried to solve them together and find condition for...

Homework Statement 11.10 The acceleration of a particle is directly proposional to the time t. At t = 0, the velocity of the particle is v = 16 in./s. Knowing that v = 15 in./s and that x = 20 in. when t = 1 s, determine the velocity, the position, and the total distance traveled when t = 7s...

Homework Statement 11.8 The motion of a particle is defined by the relation ##x=t^3 - 6t^2 - 36t - 40, where x and t are expressed in feet and seconds, respectively. Determine (a) when the velocity is zero, (b) the velocity, the acceleration, and the total distance traveled when x = 0...

Homework Statement 11.7 The motion of a particle is defined by the relation ##x = 2t^3 - 15t^2 + 24t + 4 where x is expressedin meters and t in seconds. Determine (a) when the velocity zero , (b) the position and the total distance traveled when the acceleration is zero Homework EquationsThe...

Homework Statement The motion of a particle is defined by the relation ##x = 6t^4 - 2t^3 - 12t^2 + 3t + 3##, where x and t are expressed in meters and seconds, respectively. Detrmine the time, the position, and the velocity when a = 0. Homework EquationsThe Attempt at a Solution [/B] Can...

Homework Statement A loaded railroad car is rolling at a constant velocity when it couples with a spring and dashpot bumber system. After the coupling, the motion of the car is defined by the relation ##x = 60e^{-4.8t} sin16t##, where x and t are expressed in millimeters and seconds...

Homework Statement Refer to figure please. Homework Equations ∑Fy=0 before string is cut The Attempt at a Solution I tried summing the two forces in the y direction before the strings were cut which would be the two tensions at a sin40° and minus the weight of the ball(mg). That gave me T in...

Hi guys. I'm new here. If i did any mistake please forgive me. First of all I have a simple problem need all of you to help me. Here is the problem The acceleration of a particle is defined by the relation a = -k√v, where k is constant. Knowing that x = 0 and v =...

Homework Statement A particle moves in a plane. The particle (x,y) position on the plane is given by: x = -34t^4 − 28t^3 + 7 y = 25t^2 + 13t^3 + 5 Therefore the particle's displacement [from the (x,y) origin) at time t = 68 s is (736000000m) i + (4200000m)j (a) What is the...

Homework Statement The slotted arm OA forces the small pin to move in the fixed spiral guide defined by r=Kθ. Arm OA starts from rest at θ=π/4 and has a constant counterclockwise angular acceleration \ddot{theta} =α. Determine the magnitude of the acceleration of the pin when θ=3π/4...

Homework Statement http://img402.imageshack.us/img402/5733/problemvm7.th.jpg I had to draw in that line. It was suppose to show a dotted line of the projectile, but the page did not scan well. Homework Equations The Attempt at a Solution First atempt...

it is known from t=2 to t=10 the accelareation of a particle is inversely proportional to the cube of time t.when t=2, v=-15 and when t=10 ,v=0.36.knowing that the particle is twice as far from the origin when t=2 and t=10,determine the position of the particle when t=2 and t=10 the answer...

the motion of a particle is defined by x=2(t^3) - 18(t^2) + 48t - 16 where x=meter and t=sec.determine the total distance traveled when the acceleration is zero. the answer is 44m. pls help...thanx...